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Scorpion4ik [409]
3 years ago
14

Sarah watched the Scarecrow scare away 2 crows on Monday 5 crows on Tuesday 11 crows on Wednesday and 23 crows on Thursday Sarah

notice a pattern forming can you predict how many crows could be scared away on Friday Saturday and Sunday
Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

I got 47 because...

Tn = Tn-1 + 3×2^(n -1)

Using the above formula,

T2 = 2 + 3×2^(1-1) = 2 + 3×2^0 = 2 + 3 = 5

T3 = 5+ 3×2^(2-1) = 5 + 6 = 11

T4 = 11 + 3×2^(3-1) = 11 + 12 = 23

T5 = 23 + 3×2^(4-1) = 23 + 24 = 47

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P(WWC) = P(W) \times P(W) \times P(C) \\ \\ P(WWC) = \frac{3}{4} \times \frac{3}{4} \times \frac{1}{4} \\ \\ P(WWC) = \frac{9}{64}

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P(WWC) = P(W) \times P(W) \times P(C) \\ \\ P(WWC) = \frac{3}{4} \times \frac{3}{4} \times \frac{1}{4} \\ \\ P(WWC) = \frac{9}{64}

P(WCW ) = P(W) \times P( C ) \times P(W) \\ \\ P(WCW) = \frac{3}{4} \times \frac{1}{4} \times \frac{3}{4} \\ \\ P(WCW) = \frac{9}{64}

P(CWW ) = P(W) \times P( C ) \times P(W) \\ \\ P(CWW) = \frac{1}{4} \times \frac{3}{4} \times \frac{3}{4} \\ \\ P(CWW) = \frac{9}{64}

c) The probability of getting one correct answer is either the first one is correct or second is correct or third is correct.

P(One \: Correct)= P(CWW) \: or P(WCW) \: or \: P(WWC) \\ \\ P(One \: Correct)= P(CWW) \: + P(WCW) \: + \: P(WWC) \\ \\ P(One \: Correct)= \frac{9}{64} + \frac{9}{64} + \frac{9}{64}  \\ \\ P(One \: Correct) = \frac{27}{64}
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4 years ago
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